Question

In: Statistics and Probability

The data to the right represent the number of chocolate chips per cookie in a random...

The data to the right represent the number of chocolate chips per cookie in a random sample of a name brand and a store brand.

Name Brand   Store Brand
26   20
22   22
32   27
24   22
30   24
29   16
35   33
28   23
23   30
23   17
28   26
22   27
25   29

2525

2929

​(a) Draw​ side-by-side boxplots for each brand of cookie. Label the boxplots​ "N" for the name brand and​ "S" for the store brand. Choose the correct answer below.

A.

Two stacked horizontal boxplots are above a horizontal number line from 10 to 40 in increments of 2. A boxplot labeled “N” consists of a box extending from 22 to 35 with a vertical line segment through the box at 30 and two horizontal line segments extending from the left and right sides of the box to 21 and 40, respectively. A boxplot labeled “S” consists of a box extending from 16 to 33 with a vertical line segment through the box at 28 and two horizontal line segments extending from the left and right sides of the box to 11 and 38, respectively. All values are approximate.

B.

Two stacked horizontal boxplots are above a horizontal number line from 10 to 40 in increments of 2. A boxplot labeled “N” consists of a box extending from 23 to 30 with a vertical line segment through the box at 26 and two horizontal line segments extending from the left and right sides of the box to 22 and 35, respectively. A boxplot labeled “S” consists of a box extending from 21 to 28 with a vertical line segment through the box at 24 and two horizontal line segments extending from the left and right sides of the box to 16 and 33, respectively. All values are approximate. Your answer is correct.

C.

​(b) Does there appear to be a difference in the number of chips per​ cookie?

A. No. There appears to be no difference in the number of chips per cookie.

B. Yes. The store brand appears to have more chips per cookie.

C. Yes. The name brand appears to have more chips per cookie.

D. There is insufficient information to draw a conclusion.

​(c) Does one brand have a more consistent number of chips per​ cookie?

A. Yes. The store brand has a more consistent number of chips per cookie.

B. Yes. The name brand has a more consistent number of chips per cookie.

C. No. Both brands have roughly the same number of chips per cookie.

D. There is insufficient information to draw a conclusion.

    Solutions

    Expert Solution

    (a) right choice is .

    A.

    Two stacked horizontal boxplots are above a horizontal number line from 10 to 40 in increments of 2. A boxplot labeled “N” consists of a box extending from 22 to 35 with a vertical line segment through the box at 30 and two horizontal line segments extending from the left and right sides of the box to 21 and 40, respectively. A boxplot labeled “S” consists of a box extending from 16 to 33 with a vertical line segment through the box at 28 and two horizontal line segments extending from the left and right sides of the box to 11 and 38, respectively. All values are approximate.

    (b)C. Yes. The name brand appears to have more chips per cookie.

    As the middle thick and bold line inside the box is above the store brand S

    (c) B. Yes. The name brand has a more consistent number of chips per cookie.

    since the middle thick line is almost in the middle for name brand as compared to store brand, which is indicator for more consistent


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